1. Maths Parent Workshop Year 3 and 4
Thursday 10th November 2016
Miss Walker

2. Aims for this workshop
To give you a clear picture of how the 4 operations (addition, subtraction, multiplication and division) are taught in years 3 and 4.
To understand the key skills your child must be secure with.

3. Mental Calculations Adding 1 – Just need to know!
Adding 2 – next odd/even number
Bonds to 10 – Just need to know!
Adding 0 – number stays the same
Adding 10 – add 1 to the tens digit
Doubles – Just need to know!
Near doubles – double one of the digits then add or subtract 1
Bridging/compensating – add 10 then takeaway 1,2 or 3.

4. Addition

5. Year 3 Addition Objectives
Add numbers mentally, including three-digit number and ones.
Add numbers mentally, including three-digit number and tens.
Add numbers mentally, including three-digit number and hundreds.
Add numbers with up to three digits, using formal written methods of columnar addition.
Estimate the answer to a calculation and use inverse operations to check answers.
Solve problems, including missing number problems, using number facts, place value, and more complex addition.

6. Year 4 Addition Objectives
Add numbers with up to 4 digits using the formal written methods of columnar addition where appropriate.
Estimate and use inverse operations to check answers to a calculation.
Solve addition two-step problems in contexts, deciding which operations and methods to use and why.

7. Key Vocabulary
Year 3
add, more, plus, and, make, altogether, total, equal to, equals, double, most, count on, number line, sum, tens, units, partition, plus, addition, column, tens boundary, hundreds boundary, increase, vertical, ‘carry‘, expanded, compact
Year 4
add, more, plus, and, make, altogether, total, equal to, equals, double, most, count on, number line, sum, tens, units, partition, plus, addition, column, tens boundary, hundreds boundary, increase, vertical, ‘carry’, expanded, compact, thousands, hundreds, digits, inverse

8. Year 2 – Partitioning Method

9. Year 3 – expanded column method

10. Year 3/4 – compact method

11. Have a go... Year 3 Questions Year 4 Questions 523 + 156 = ?
= ?
= ?
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= ?
= ?

12. Subtraction

13. Year 3 Subtraction Objectives
Subtract numbers mentally, including three-digit number and ones.
Subtract numbers mentally, including three-digit number and tens.
Subtract numbers mentally, including three-digit number and hundreds.
Subtract numbers with up to three digits, using formal written methods of columnar subtraction.
Estimate the answer to a calculation and use inverse operations to check answers.
Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

14. Year 4 Subtraction Objectives
Subtract numbers with up to 4 digits using the formal written methods of columnar subtraction where appropriate.
Estimate and use inverse operations to check answers to a calculation.
[KEY] Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why.

15. Key Vocabulary
Year 3
equal to, take, take away, less, minus, subtract, leaves, distance between, how many more, how many fewer / less than, most, least, count back , how many left, how much less is, difference, count on, strategy, partition, tens, units exchange, decrease, hundreds, value, digit
Year 4
equal to, take, take away, less, minus, subtract, leaves, distance between, how many more, how many fewer / less than, most, least, count back, how many left, how much less is, difference, count on, strategy, partition, tens, units exchange, decrease, hundreds, value, digit, inverse

16. Year 2 – Number line

17. Year 3 – Partitioned column method

18. Year 3 – partitioned column method

19. Year 3 – Column Method

20. Year 4 – Partitioned Column Method

21. Year 4 – Column Method

22. Have a go...
Year 3 Questions
Year 4 Questions
134 – 23 =
514 – 203 =
153 – 346 =
173 – 136 =
3534 – 2568 =
2344 – 1649 =
4747 – 3555 =
6434 – 4319 =

23. Multiplication

24. Year 3 Multiplication Objectives
Recall and use multiplication facts for the 3, 4 and 8 multiplication tables.
Write and calculate mathematical statements for multiplication using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods.
Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects.

25. Year 4 Multiplication Objectives
Recall multiplication and division facts for multiplication tables up to 12 × 12.
Use place value, known and derived facts to multiply mentally, including: multiplying by 0 and 1.
Use place value, known and derived facts to multiply mentally, including: multiplying together three numbers.
Multiply two-digit and three-digit numbers by a one-digit number using formal written layout.

26. Key Vocabulary
Year 3
groups of, lots of, times, array, altogether, multiply, count, multiplied by, repeated addition, column, row, commutative, sets of, equal groups, times, times as big as, once, twice, three times..., partition, grid method, multiple, product, tens, units, value
Year 4
groups of, lots of, times, array, altogether, multiply, count, multiplied by, repeated addition, array, column, row, commutative, groups of, sets of, lots of, equal groups, times, multiply, times as big as, once, twice, three times... partition, grid method, total, multiple, product, sets of, inverse

27. Year 2 – Arrays and Repeated Addition

28. Year 3 – Grid Method
6 x 14 = 84

29. Year 4 – Written method

30. Have a go...
Year 3 Questions
Year 4 Questions
33 x 3 =
413 x 4 =
627 x 3 =
513 x 8 =
5346 x 9 =
7232 x 7 =
6 x 8452 =
9 x 4212 =

31. Division

32. Year 3 Division Objectives
Recall and use division facts for the 3, 4 and 8 multiplication tables.
Write and calculate mathematical statements for division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods.
Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects.

33. Year 4 Division Objectives
Recall and division facts for multiplication tables up to 12 × 12.
Use place value, known and derived facts to multiply and divide mentally, including: Dividing by 1.
Divide two-digit and three-digit numbers by a one-digit number using formal written layout.
Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects.

34. Key Vocabulary
Year 3
share, share equally, one each, two each…, group, equal groups of, lots of, array, divide, divided by, divided into, division, grouping, number line, left, left over, inverse, short division, ‘carry‘, remainder, multiple
Year 4
share, share equally, one each, two each…, group, equal groups of, lots of, array, divide, divided by, divided into, division, grouping, number line, left, left over, inverse, short division, “carry‟, remainder, multiple, divisible by, factor

35. Year 2 – Number lines

36. Year 3 – Grouping on a number line

37. Year 3 – short division (no remainders)

38. Year 4 – short division (with remainders)

39. Have a go...
Year 3 Questions
Year 4 Questions
732 ÷ 4 =
416 ÷ 8 =
228 ÷ 3 =
372 ÷ 4 =
183 ÷ 7 =
2833 ÷ 9 =
6344 ÷ 8 =
3023 ÷ 6 =

40. Useful Resources http://www.topmarks.co.uk/maths-games/7-11-years
CGP books – available from , Waterstones, Amazon etc.
Walwayne Court Website  parents  helping your child  Maths videos